Manav Bhatia <[email protected]> writes:

> I will certainly give these a shot tomorrow. Do you know if these
> require any other modification in my code/libMesh, or providing the
> command line options would be enough?

Try --node_major_dofs

> I have been thinking of doing something with multigrid, but am not
> sure if something along those lines is currently feasible with
> libMesh<->PETSc interface.  Currently I don't have much experience
> with multigrid, so I am curious to see what is possible. Do you think
> that somehow going between the original mesh and the refined mesh
> would provide some reasonable form of multigrid?

Multigrid for transonic flow is technical to implement.  I don't have
much experience with GLS, but from what I've seen, its accuracy is not
very good on coarse grids (including the usual lack of conservation).
That is a big problem for multigrid, so unless you can use the fine grid
to numerically homogenize, producing accurate coarse grid equations (I
don't know how to do this for transonic flow), MG convergence will not
be very good.

OTOH, even a crummy MG algorithm may be better than one-level methods.

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